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Simplifying 4(x + -6) = 4(x + -2) * 46 Reorder the terms: 4(-6 + x) = 4(x + -2) * 46 (-6 * 4 + x * 4) = 4(x + -2) * 46 (-24 + 4x) = 4(x + -2) * 46 Reorder the terms: -24 + 4x = 4(-2 + x) * 46 Reorder the terms for easier multiplication: -24 + 4x = 4 * 46(-2 + x) Multiply 4 * 46 -24 + 4x = 184(-2 + x) -24 + 4x = (-2 * 184 + x * 184) -24 + 4x = (-368 + 184x) Solving -24 + 4x = -368 + 184x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-184x' to each side of the equation. -24 + 4x + -184x = -368 + 184x + -184x Combine like terms: 4x + -184x = -180x -24 + -180x = -368 + 184x + -184x Combine like terms: 184x + -184x = 0 -24 + -180x = -368 + 0 -24 + -180x = -368 Add '24' to each side of the equation. -24 + 24 + -180x = -368 + 24 Combine like terms: -24 + 24 = 0 0 + -180x = -368 + 24 -180x = -368 + 24 Combine like terms: -368 + 24 = -344 -180x = -344 Divide each side by '-180'. x = 1.911111111 Simplifying x = 1.911111111
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